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Finding the Fourth Proportional to 3,653.78, 5,442.46 and 3,605.33

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Solution

The fourth proportional to 3,653.78, 5,442.46 and 3,605.33 is: 5,370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.78 : 5,442.46 = 3,605.33 : x
  2. Step 2: Convert to fraction form
    3,653.78/5,442.46 = 3,605.33/x
  3. Step 3: Cross multiply
    3,653.78x = 5,442.46 × 3,605.33
  4. Step 4: Simplify right side
    3,653.78x = 19,621,868.90
  5. Step 5: Solve for x
    x = 19,621,868.90/3,653.78
  6. Step 6: Final answer
    x = 5,370.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.